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Finding the Fourth Proportional to 234.63, 351.27 and 176.58

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Solution

The fourth proportional to 234.63, 351.27 and 176.58 is: 264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.63 : 351.27 = 176.58 : x
  2. Step 2: Convert to fraction form
    234.63/351.27 = 176.58/x
  3. Step 3: Cross multiply
    234.63x = 351.27 × 176.58
  4. Step 4: Simplify right side
    234.63x = 62,027.26
  5. Step 5: Solve for x
    x = 62,027.26/234.63
  6. Step 6: Final answer
    x = 264.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.